An object is at rest at #(4 ,1 ,6 )# and constantly accelerates at a rate of #4/3 m/s^2# as it moves to point B. If point B is at #(3 ,1 ,6 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.

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Answer 1 · 2016-03-30T12:16:25

#t=sqrt6/2" "s#

#"distance between (4,1,6) and (3,1,6):"#

#s=sqrt((3-4)^2+(1-1)^2+(6-6)^2)#

#s=sqrt((-1)^2+0^2+0^2)#
#s=1" "m#

#s=1/2*a t^2#

#s=1" m"#
#a=4/3 " "m/s^2#

#t=?#

#1=1/2*4/3*t^2#

#t^2=6/4#

#t=sqrt6/2" "s#